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Finding the Third Proportional to 21,564,793.50 and 46,417,876.50

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Solution

The third proportional to 21,564,793.50 and 46,417,876.50 is: 99,913,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564,793.50 : 46,417,876.50 = 46,417,876.50 : x
  2. Step 2: Convert to fraction form
    21,564,793.50/46,417,876.50 = 46,417,876.50/x
  3. Step 3: Cross multiply
    21,564,793.50x = 46,417,876.50 × 46,417,876.50
  4. Step 4: Simplify right side
    21,564,793.50x = 2,154,619,258,769,252.25
  5. Step 5: Solve for x
    x = 2,154,619,258,769,252.25/21,564,793.50
  6. Step 6: Final answer
    x = 99,913,744.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.